Question

Why is the square root of a number not plus or minus?

score 6.4k · Answer 1 · 2016-05-10 02:18:54

6.4k

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Why is the square root of a number not plus or minus?

Published on 10 May 2016 - 2:18

score 336 · Answer 2 · 2026-03-29 05:12:10

336

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a general continued fraction satisfying $\frac{(i+\Theta\sqrt{z})^m}{(i-\Theta\sqrt{z})^m}=\frac{(ik+\sqrt{z})^{m+1}}{(ik-\sqrt{z})^{m+1}}$

Published on 29 Mar 2026 - 5:12

score 1.3k · Answer 3 · 2026-03-28 18:12:57

1.3k

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Close approximation for absolute value function

Published on 28 Mar 2026 - 18:12

score 438 · Answer 4 · 2026-03-27 00:03:46

438

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How to prove $\sqrt3 + \sqrt[3]{2}$ is a irrational number?

Published on 27 Mar 2026 - 0:03

score 278 · Answer 5 · 2026-04-03 16:18:27

278

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Rationalizing the denominator of $\frac{\sqrt {2}}{\sqrt {x-3}}$

Published on 03 Apr 2026 - 16:18

score 182 · Answer 6 · 2016-05-18 00:42:46

182

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express the value of an expression as a common factor

Published on 18 May 2016 - 0:42

score 618 · Answer 7 · 2016-05-18 02:47:46

618

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Radical equation $\sqrt{x+1}+\sqrt{x-1}-\sqrt{x^2 -1}=x$

Published on 18 May 2016 - 2:47

score 327 · Answer 8 · 2026-03-29 23:24:52

327

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Simplify $\frac{1}{\sqrt{4+2\sqrt{3}} - \sqrt{4-2\sqrt{3}}}$

Published on 29 Mar 2026 - 23:24

score 1.7k · Answer 9 · 2026-03-29 23:26:56

1.7k

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Why is $5\tan(54^\circ) = \sqrt{25 + 10\sqrt{5}}$ and $\tan\left(\frac{\pi}{5}\right) = \sqrt{5 - 2\sqrt{5}}$?

Published on 29 Mar 2026 - 23:26

score 398 · Answer 10 · 2016-05-20 23:22:56

398

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Solve the simultaneous equations for real numbers $x$ and $y$: $ \sqrt{x+a} + \sqrt{x-a} = 3 $ and $ x+y=5 $

Published on 20 May 2016 - 23:22

score 736 · Answer 11 · 2026-03-27 05:59:40

736

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How to solve the equation $ x^{13} = 1$ by radicals? (And $x^{19}=1$)

Published on 27 Mar 2026 - 5:59

score 1.6k · Answer 12 · 2026-04-08 13:13:38

1.6k

Views

General Principles of Solving Radical Equations

Published on 08 Apr 2026 - 13:13

score 329 · Answer 13 · 2016-05-21 18:38:06

329

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$\left(x+\sqrt{x^2+1}\right)\left(y+\sqrt{y^2+1}\right)=1$. Find $(x+y)$.

Published on 21 May 2016 - 18:38

score 678 · Answer 14 · 2026-04-04 10:22:21

678

Views

Prove that $(√5 - 1)/2$ is irrational.

Published on 04 Apr 2026 - 10:22

score 1k · Answer 15 · 2016-05-23 09:15:20

1k

Views

What am I doing wrong in calculating the following limit?

Published on 23 May 2016 - 9:15

List Question

Why is the square root of a number not plus or minus?

a general continued fraction satisfying $\frac{(i+\Theta\sqrt{z})^m}{(i-\Theta\sqrt{z})^m}=\frac{(ik+\sqrt{z})^{m+1}}{(ik-\sqrt{z})^{m+1}}$

Close approximation for absolute value function

How to prove $\sqrt3 + \sqrt[3]{2}$ is a irrational number?

Rationalizing the denominator of $\frac{\sqrt {2}}{\sqrt {x-3}}$

express the value of an expression as a common factor

Radical equation $\sqrt{x+1}+\sqrt{x-1}-\sqrt{x^2 -1}=x$

Simplify $\frac{1}{\sqrt{4+2\sqrt{3}} - \sqrt{4-2\sqrt{3}}}$

Why is $5\tan(54^\circ) = \sqrt{25 + 10\sqrt{5}}$ and $\tan\left(\frac{\pi}{5}\right) = \sqrt{5 - 2\sqrt{5}}$?

Solve the simultaneous equations for real numbers $x$ and $y$: $ \sqrt{x+a} + \sqrt{x-a} = 3 $ and $ x+y=5 $

How to solve the equation $ x^{13} = 1$ by radicals? (And $x^{19}=1$)

General Principles of Solving Radical Equations

$\left(x+\sqrt{x^2+1}\right)\left(y+\sqrt{y^2+1}\right)=1$. Find $(x+y)$.

Prove that $(√5 - 1)/2$ is irrational.

What am I doing wrong in calculating the following limit?

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